Problem
Given an n-ary tree, return the preorder traversal of its nodes' values.
Nary-Tree input serialization is represented in their level order traversal, each group of children is separated by the null value (See examples).
Follow up:
Recursive solution is trivial, could you do it iteratively?
Example 1:
Input: root = [1,null,3,2,4,null,5,6] Output: [1,3,5,6,2,4]
Example 2:
Input: root = [1,null,2,3,4,5,null,null,6,7,null,8,null,9,10,null,null,11,null,12,null,13,null,null,14] Output: [1,2,3,6,7,11,14,4,8,12,5,9,13,10]
Constraints:
- The height of the n-ary tree is less than or equal to
1000
- The total number of nodes is between
[0, 10^4]
问题
给定一个 N 叉树,返回其节点值的前序遍历。
例如,给定一个 3叉树 :
返回其前序遍历: [1,3,5,6,2,4]。
说明: 递归法很简单,你可以使用迭代法完成此题吗?
思路
DFS
Python3 代码
""" # Definition for a Node. class Node: def __init__(self, val=None, children=None): self.val = val self.children = children """ class Solution: def preorder(self, root: 'Node') -> List[int]: # DFS res = [] def dfs(root): if not root: return res.append(root.val) for child in root.children: dfs(child) dfs(root) return res
BFS
遍历子树的时候选择的是逆序加入,因为是弹出尾部元素。
Python3 代码
""" # Definition for a Node. class Node: def __init__(self, val=None, children=None): self.val = val self.children = children """ class Solution: def preorder(self, root: 'Node') -> List[int]: # BFS if not root: return [] q = [root] res = [] while q: # 弹出列表尾部的一个元素 node = q.pop() res.append(node.val) # 逆序加入,从右到左 for child in node.children[::-1]: q.append(child) return res